Sure! I'm as pale as you, if not paler, and I have naturally dark brown hair. I always get complimented on my coloring, as it's kind of rare to be pale + dark-haired. However, I suggest that you stay away from very cool browns. I think warm browns may suit you better.
Best of luck!
P.S-- And remember to dye your eyebrows, and maybe fill them in. It makes it easier to pull of your dark hair!